13261308600 has 96 divisors (see below), whose sum is σ = 41214348720. Its totient is φ = 3527377920.

The previous prime is 13261308583. The next prime is 13261308667. The reversal of 13261308600 is 680316231.

13261308600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210364 + ... + 266036.

Almost surely, 2^13261308600 is an apocalyptic number.

13261308600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13261308600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20607174360).

13261308600 is an abundant number, since it is smaller than the sum of its proper divisors (27953040120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13261308600 is a wasteful number, since it uses less digits than its factorization.

13261308600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56089 (or 56080 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 13261308600 in words is "thirteen billion, two hundred sixty-one million, three hundred eight thousand, six hundred".